Higher-order bias corrections for kernel type density estimators on the unit or semi-infinite interval

DOI10.1080/10485252.2020.1770754zbMath1465.62071OpenAlexW3029194589MaRDI QIDQ4987544

Yoshihide Kakizawa, Gaku Igarashi

Publication date: 3 May 2021

Published in: Journal of Nonparametric Statistics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2241/00155065

zbMATH Keywords

nonparametric density estimationasymmetric kernelhigher-order bias correctionboundary bias problem

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20)

Related Items (4)

Minimax properties of Dirichlet kernel density estimators ⋮ A class of Birnbaum-Saunders type kernel density estimators for nonnegative data ⋮ Asymptotic properties of Dirichlet kernel density estimators ⋮ Recursive asymmetric kernel density estimation for nonnegative data

Cites Work

• Unnamed Item
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• Beta kernel estimators for density functions
• Inverse gamma kernel density estimation for nonnegative data
• Nonparametric multiplicative bias correction for kernel-type density estimation on the unit interval
• On inverses of Vandermonde and confluent Vandermonde matrices
• On improving convergence rates for nonnegative kernel density estimators
• Statistical properties of the generalized inverse Gaussian distribution
• Nonnegative bias reduction methods for density estimation using asymmetric kernels
• Nonparametric density estimation for nonnegative data, using symmetrical-based inverse and reciprocal inverse Gaussian kernels through dual transformation
• Generalized Birnbaum-Saunders kernel density estimators and an analysis of financial data
• Multiplicative bias correction for asymmetric kernel density estimators revisited
• Bias corrections for some asymmetric kernel estimators
• Re-formulation of inverse Gaussian, reciprocal inverse Gaussian, and Birnbaum-Saunders kernel estimators
• Multiplicative bias correction for generalized Birnbaum-Saunders kernel density estimators and application to nonnegative heavy tailed data
• Bias reductions for beta kernel estimation
• Weighted log-normal kernel density estimation
• Remarks on Some Nonparametric Estimates of a Density Function
• Statistical Properties of Inverse Gaussian Distributions. I
• Generalized jackknifing and higher order kernels
• A bias-reduced approach to density estimation using Bernstein polynomials
• Higher order bias reduction of kernel density and density derivative estimation at boundary points
• On the Integral Mean Square Error of Some Nonparametric Estimates for the Density Function
• Improvement of Kernel Type Density Estimators
• An Improved Estimator of the Density Function at the Boundary
• Density estimation using inverse and reciprocal inverse Gaussian kernels
• A simple bias reduction method for density estimation
• Limiting bias-reduced Amoroso kernel density estimators for non-negative data
• Family of the generalised gamma kernels: a generator of asymmetric kernels for nonnegative data
• Parameter Estimation for a Generalized Gamma Distribution
• Generalised gamma kernel density estimation for nonnegative data and its bias reduction
• On improving convergence rate of Bernstein polynomial density estimator
• A new family of life distributions
• On Estimation of a Probability Density Function and Mode
• A Generalization of the Gamma Distribution
• Probability density function estimation using gamma kernels

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